An individual ergodic theorem with respect to a uniform sequence and the Banach principle in Jordan algebras

A. K. Karimov; F. M. Mukhamedov

doi:10.1070/sm2003v194n02abeh000714

An individual ergodic theorem with respect to a uniform sequence and the Banach principle in Jordan algebras

A. K. Karimov, F. M. Mukhamedov

Research output: Contribution to journal › Article › peer-review

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Abstract

A non-associative analogue of the Banach principle is developed for measurable elements with respect to a JSW-algebra. On the basis of it an individual ergodic theorem is proved for subsequences generated by means of uniform sequences.

Original language	English
Pages (from-to)	237-250
Number of pages	14
Journal	Sbornik Mathematics
Volume	194
Issue number	1-2
DOIs	https://doi.org/10.1070/sm2003v194n02abeh000714
Publication status	Published - 2003
Externally published	Yes

ASJC Scopus subject areas

Mathematics (miscellaneous)

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abstract = "A non-associative analogue of the Banach principle is developed for measurable elements with respect to a JSW-algebra. On the basis of it an individual ergodic theorem is proved for subsequences generated by means of uniform sequences.",

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An individual ergodic theorem with respect to a uniform sequence and the Banach principle in Jordan algebras

Abstract

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